The side lengths in yards of a triangle and a square are shown in the diagram.
Screenshot 2023-10-31 131337.jpg
The perimeter of the triangle is equal to the perimeter of the square. What is the value of x?
The side lengths in yards of a triangle and a square are shown in the diagram.
Screenshot 2023-10-31 131337.jpg
The perimeter of the triangle is equal to the perimeter of the square. What is the value of x?
-4
6
To find the value of x, we first need to calculate the perimeters of both the triangle and the square.
In the triangle, we have x + x + 2 = 2x + 2 as the perimeter.
In the square, all sides are of equal length and we are given that the side length is x + 1. The perimeter of the square is 4 times the length of one side, so the perimeter of the square is 4(x + 1) = 4x + 4.
Given that the perimeters of the triangle and the square are equal, we can set up the equation:
2x + 2 = 4x + 4
Subtract 2x from both sides:
2 = 2x + 4
Subtract 4 from both sides:
-2 = 2x
Divide by 2 on both sides:
x = -1
Therefore, the value of x is -1.